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Finding the Third Proportional to 118,312 and 256,587

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Solution

The third proportional to 118,312 and 256,587 is: 556,468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,312 : 256,587 = 256,587 : x
  2. Step 2: Convert to fraction form
    118,312/256,587 = 256,587/x
  3. Step 3: Cross multiply
    118,312x = 256,587 × 256,587
  4. Step 4: Simplify right side
    118,312x = 65,836,888,569
  5. Step 5: Solve for x
    x = 65,836,888,569/118,312
  6. Step 6: Final answer
    x = 556,468.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.